Dynamic behavior analysis of cantilever-type nano-mechanical electrostatic actuator

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Abstract

An investigation is performed into the nonlinear pull-in behavior of a cantilever-type nano-mechanical electrostatic actuator. In performing the analysis, the actuator is modeled as an Euler-Bernoulli beam and the influence of surface effects, the fringing field effect and the Casimir force effect are taken into explicit account. In general, analyzing the dynamic behavior of nanoscale electrostatic devices is challenging due to the nonlinear coupling of the electrostatic force and Casimir force. In the present study, this problem is resolved by using a hybrid computational scheme comprising the differential transformation method and the finite difference approximation technique. The feasibility of the proposed approach is demonstrated by the two cantilever-type micro-beams when actuated by a DC voltage. The numerical results show that the present results for the pull-in voltage deviate by no more than 1.47% from those presented in the literature using a different scheme. In addition, it is shown that surface effects play a significant role in determining the static deflection and pull-in voltage of the cantilever beam nano-beam. In general, the results confirm that the hybrid differential transformation/finite difference approximation method provides an accurate and computationally efficient means of simulating the nonlinear electrostatic behavior of nanostructure systems.

Original languageEnglish
Pages (from-to)124-130
Number of pages7
JournalInternational Journal of Non-Linear Mechanics
Volume82
DOIs
Publication statusPublished - 2016 Jun 1

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Mechanical actuators
Electrostatic actuators
Cantilever
Electrostatics
Dynamic Behavior
Casimir Force
Actuator
Surface Effects
Finite Difference Approximation
Voltage
Electrostatic devices
Electric potential
Deflection (structures)
Differential Transformation Method
Electrostatic Force
Euler-Bernoulli Beam
Cantilever Beam
Electrostatic force
Cantilever beams
Nanostructures

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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title = "Dynamic behavior analysis of cantilever-type nano-mechanical electrostatic actuator",
abstract = "An investigation is performed into the nonlinear pull-in behavior of a cantilever-type nano-mechanical electrostatic actuator. In performing the analysis, the actuator is modeled as an Euler-Bernoulli beam and the influence of surface effects, the fringing field effect and the Casimir force effect are taken into explicit account. In general, analyzing the dynamic behavior of nanoscale electrostatic devices is challenging due to the nonlinear coupling of the electrostatic force and Casimir force. In the present study, this problem is resolved by using a hybrid computational scheme comprising the differential transformation method and the finite difference approximation technique. The feasibility of the proposed approach is demonstrated by the two cantilever-type micro-beams when actuated by a DC voltage. The numerical results show that the present results for the pull-in voltage deviate by no more than 1.47{\%} from those presented in the literature using a different scheme. In addition, it is shown that surface effects play a significant role in determining the static deflection and pull-in voltage of the cantilever beam nano-beam. In general, the results confirm that the hybrid differential transformation/finite difference approximation method provides an accurate and computationally efficient means of simulating the nonlinear electrostatic behavior of nanostructure systems.",
author = "Chin-Chia Liu",
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N2 - An investigation is performed into the nonlinear pull-in behavior of a cantilever-type nano-mechanical electrostatic actuator. In performing the analysis, the actuator is modeled as an Euler-Bernoulli beam and the influence of surface effects, the fringing field effect and the Casimir force effect are taken into explicit account. In general, analyzing the dynamic behavior of nanoscale electrostatic devices is challenging due to the nonlinear coupling of the electrostatic force and Casimir force. In the present study, this problem is resolved by using a hybrid computational scheme comprising the differential transformation method and the finite difference approximation technique. The feasibility of the proposed approach is demonstrated by the two cantilever-type micro-beams when actuated by a DC voltage. The numerical results show that the present results for the pull-in voltage deviate by no more than 1.47% from those presented in the literature using a different scheme. In addition, it is shown that surface effects play a significant role in determining the static deflection and pull-in voltage of the cantilever beam nano-beam. In general, the results confirm that the hybrid differential transformation/finite difference approximation method provides an accurate and computationally efficient means of simulating the nonlinear electrostatic behavior of nanostructure systems.

AB - An investigation is performed into the nonlinear pull-in behavior of a cantilever-type nano-mechanical electrostatic actuator. In performing the analysis, the actuator is modeled as an Euler-Bernoulli beam and the influence of surface effects, the fringing field effect and the Casimir force effect are taken into explicit account. In general, analyzing the dynamic behavior of nanoscale electrostatic devices is challenging due to the nonlinear coupling of the electrostatic force and Casimir force. In the present study, this problem is resolved by using a hybrid computational scheme comprising the differential transformation method and the finite difference approximation technique. The feasibility of the proposed approach is demonstrated by the two cantilever-type micro-beams when actuated by a DC voltage. The numerical results show that the present results for the pull-in voltage deviate by no more than 1.47% from those presented in the literature using a different scheme. In addition, it is shown that surface effects play a significant role in determining the static deflection and pull-in voltage of the cantilever beam nano-beam. In general, the results confirm that the hybrid differential transformation/finite difference approximation method provides an accurate and computationally efficient means of simulating the nonlinear electrostatic behavior of nanostructure systems.

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